News
TAs wantedWritten on 30.01.24 by Michael Hartz The department is looking for TAs for next semester for many courses. In particular, I will be teaching complex analysis (the usual single variable course). It would be great to have some of you as TAs for that course. You can apply here. |
Multivariable Complex Analysis
Dates and times
Lecture
Tuesday, 16:15-17:45, HS 3, Building E 2 5
Tutorial
Wednesday, 14:15-15:45, SR 5, Building E 2 4
You may submit the solutions for the assignments in teams of up to three people.
Contents
This course is an introduction to complex analysis in several variables. While many of the basic results about holomorphic functions of one variable carry over to several variables, a number of new phenomena arise. For instance, holomorphic functions of several variables cannot have isolated zeros or isolated singularities.
Topics covered:
- basic properties of holomorphic functions of several variables
- Hartogs' theorem about seperately holomorphic functions
- analytic sets
- domains of holomorphy
Prerequisites
Basic complex analysis in one variable (e.g. Funktionentheorie 1).
Exam
There will be an oral exam at the end of the semester. In order to be eligible for the exam, you have to achieve at least 50% of the available points on the assignments.
Literature
See here